Linear response approach to active Brownian particles in time-varying activity fields

Abstract

In a theoretical and simulation study, active Brownian particles (ABPs) in three-dimensional bulk systems are exposed to time-varying sinusoidal activity waves that are running through the system. A linear response (Green-Kubo) formalism is applied to derive fully analytical expressions for the torque-free polarization profiles of the particles. The activity waves induce fluxes that strongly depend on the particle size and may be employed to de-mix mixtures of ABPs or to drive the particles into selected areas of the system. Three-dimensional Langevin dynamics simulations are carried out to verify the accuracy of the linear response formalism, which is shown to work best when the particles are small (i.e., highly Brownian) or operating at low activity levels.

7 pages, 5 figures

References in corpus (7)

• Self-motile colloidal particles: from directed propulsion to random walk
• Phototaxis of synthetic microswimmers in optical landscapes
• Chemotaxis of artificial microswimmers in active density waves
• Self-Polarizing Microswimmers in Active Density Waves
• Brownian systems with spatially inhomogeneous activity
• Green-Kubo approach to the average swim speed in active Brownian systems
• Pseudochemotaxis in inhomogeneous active Brownian systems

Cited by in corpus (17)

• Entropy production fluctuations encode collective behavior in active matter
• Active Brownian motion with orientation-dependent motility: theory and experiments
• Active-Particle Polarization Without Alignment Forces
• Dynamics of active particles with space-dependent swim velocity
• Active Brownian and inertial particles in disordered environments: short-time expansion of the mean-square displacement
• Lorentz forces induce inhomogeneity and fluxes in active systems
• Response of active Brownian particles to shear flow
• Anomalous fluxes in overdamped Brownian dynamics with Lorentz force
• Polarization-Density Patterns of Active Particles in Motility Gradients
• Generalized Fluctuation-Dissipation relations holding in non-equilibrium dynamics
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Pseudo-chemotaxis of active Brownian particles competing for food
• Escape rate of transiently active Brownian particle in one dimension
• Active Colloidal Molecules in Activity Gradients
• Taxis of cargo-carrying microswimmers in traveling activity waves
• Force-Free and Autonomous Active Brownian Ratchets
• Riding the Wave: Polymers in Time-dependent Nonequilibrium Baths